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Finding the Fourth Proportional to 21,970.80, 32,949.72 and 11,576.88

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Solution

The fourth proportional to 21,970.80, 32,949.72 and 11,576.88 is: 17,361.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,970.80 : 32,949.72 = 11,576.88 : x
  2. Step 2: Convert to fraction form
    21,970.80/32,949.72 = 11,576.88/x
  3. Step 3: Cross multiply
    21,970.80x = 32,949.72 × 11,576.88
  4. Step 4: Simplify right side
    21,970.80x = 381,454,954.47
  5. Step 5: Solve for x
    x = 381,454,954.47/21,970.80
  6. Step 6: Final answer
    x = 17,361.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.